Cross-correlation

Noisy complex cross-correlation coefficient

Noisy complex cross-correlation coefficient
  1. What are cross-correlation coefficients?
  2. How do you calculate cross-correlation coefficient?
  3. What is cross-correlation in frequency domain?
  4. What is cross-correlation in signals?

What are cross-correlation coefficients?

Understanding Cross-Correlation

Cross-correlation is generally used when measuring information between two different time series. The possible range for the correlation coefficient of the time series data is from -1.0 to +1.0. The closer the cross-correlation value is to 1, the more closely the sets are identical.

How do you calculate cross-correlation coefficient?

Cross-Correlation

It is calculated simply by multiplying and summing two-time series together. In the following example, graphs A and B are cross-correlated but graph C is not correlated to either.

What is cross-correlation in frequency domain?

According to the cross-correlation theorem : the cross-correlation between two signals is equal to the product of fourier transform of one signal multiplied by complex conjugate of fourier transform of another signal.

What is cross-correlation in signals?

In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature.

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